Make Slow Fast -- how to speed up interacting disordered matter

Abstract

Anderson and dynamical localization have been experimentally observed with ultra-cold atomic matter. Feshbach resonances are used to efficiently control the strength of interactions between atoms. This allows to study the delocalization effect of interactions for localized wave packets. The delocalization processes are subdiffusive and slow, thereby limiting the quantitative experimental and numerical analysis. We propose an elegant solution of the problem by proper ramping the interaction strength in time. We demonstrate that subdiffusion is speeded up to normal diffusion for interacting disordered and kicked atomic systems. The door is open to test these theoretical results experimentally, and to attack similar computational quests in higher space dimensions

References in corpus (12)

• Many-Body Physics with Ultracold Gases
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Universal spreading of wavepackets in disordered nonlinear systems
• Absence of Wavepacket Diffusion in Disordered Nonlinear Systems
• 39-K Bose-Einstein condensate with tunable interactions
• Phase Coherence and Superfluid-Insulator Transition in a Disordered Bose-Einstein Condensate
• The crossover from strong to weak chaos for nonlinear waves in disordered systems
• Delocalization induced by nonlinearity in systems with disorder
• Effect of interactions on the localization of a Bose-Einstein condensate in a quasi-periodic lattice
• Subdiffusion of nonlinear waves in quasiperiodic potentials
• Scaling properties of energy spreading in nonlinear Hamiltonian two-dimensional lattices
• Control of wavepacket spreading in nonlinear finite disordered lattices

Cited by in corpus (6)

• Nonequilibrium chaos of disordered nonlinear waves
• Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions
• Super-exponential diffusion in nonlinear non-Hermitian systems
• Effective protection of quantum coherence by non-Hermitian driving
• Nonlinear Lattice Waves in Random Potentials
• Logarithmic expansion of many-body wave packets in random potentials